1A. Nayeli wants to earn some extra money so she sells lemonade for $2 per cup and orange juice for $3 per cup. She sells a total of 100 cups and earns $240. Later she wants to find the number of cups of lemonade and the number of cups of orange juice she sold. Which system of equations below represents this situation?
1. 2x + 3y = 240 AND x + y = 100
2. 2x + 3y = 100 AND x + y = 240
3. x + 2y = 100 AND 3x + y = 240
4. 2x + 100 = 240.AND x = 3y


1B. In the context of the problem, what does your solution (x,y) mean? Fill in the blanks for the solution sentence below: Nayeli sold ____ cups of lemonade and ____ cups of orange juice. Write your answer in this form: 20, 40

Answers

Answer 1

Answer:

1. 2x + 3y = 240 AND x + y = 100

Nayeli sold 60 cups of lemonade and 40 cups of orange juice.

Step-by-step explanation:

Let

Number of cups of lemonade sold = x

Number of cups of orange juice sold = y

The system of equation could be represented by:

2x + 3y = 240 (1)

x + y = 100 (2)

from (2)

x = 100 - y

Substitute into (1)

2x + 3y = 240 (1)

2(100 - y) + 3y = 240

200 - 2y + 3y = 240

- 2y + 3y = 240 - 200

y = 40 cups

Substitute y = 40 into (2)

x + y = 100 (2)

x + 40 = 100

x = 100 - 40

x = 60 cups

Nayeli sold 60 cups of lemonade and 40 cups of orange juice.

(x, y) = (60, 40)


Related Questions

A number 1 is no less than -3.

Answers

Answer:

no

Step-by-step explanation:

because 1 can equal anything

Answer:

1 equals everything

Describe the graph of the equation y = 0. Is the equation a function?

vertical line; yes

horizontal line; yes

vertical line; no

horizontal line; no

Answers

Answer: The equation is not a function.

Explanation: The equation would be considered a function if it was in (y=Mx+b) form. As you showed here we have the (mx) part and not the (b) which would be the slope.

Answer: B. horizontal line; yes

Use the slope-intercept form to find the slope and y-intercept.

Slope:  

0

y-intercept:  

(0,0)

Yes it is a function. It is a horizontal line.  

Every point on this line is of the form (x,4) where x can be any number you want. The y coordinate is fixed at 4 and cannot change. Two points on this line are (0,4) and (1,4). The horizontal line goes through 4 on the vertical y axis.  

Why is it a function? Because it is impossible to draw a vertical line through more than one point on the graph of y = 4. The graph passes the vertical line test. Put another way, for any x input, there is exactly one y output.  

Side Note: y = 4 is the same as y = 0x+4. Note how its in the form y = mx+b

m = 0 is the slope

b = 4 is the y intercept

Step-by-step explanation: A. vertical line; yes

horizontal line; yes

Yes! Horizontal line represents a function y = f(x)

(1):Firstly, lets understand a function. For a function to be defined, we have a set of independent variables(inputs) (Domain), a set of dependent variables (outputs) (Codomain). And a relation between the variables.

(2): Each input in X must be related to exactly one output in Y. Or else it won't represent a function.. like in the following image.. y is a function of x.Because each element ofX has one& only one image in Y

C. vertical line; no

Leroy borrowed $1500 at an annual simple interest rate of 12%. He paid $270 in interest. For what time period did Leroy borrow the money? Remember, your answer will be in years!

Answers

Step-by-step explanation:

well..this is the answer..using..time formula


3(s +1) = 33
What is the value of s?

Answers

Answer: the value would be 3

Step-by-step explanation:

I did the worksheet for math!

Answer: s = 10

Step-by-step explanation:

3(s + 1) = 33

I 3 x s = 3s I 3 x 1 = 3 I

3s + 3 = 33

    -  3  - 3

__________

3s = 30

/3    /3

s = 10

Find the measure of each interior angle and each exterior angle of a regular pentagon.
The measure of each interior angle is
and the measure of each exterior angle is

Answers

Answer:

hope you like it so can you make me brainlest pls

HELP please!!! ill give brainliest :)

Answers

I’m pretty sure the correct answer is B

Rates and ratios please help

Answers

Answer:

     1.

a. 6/9 (2/3)

b. 9/6 (3/2)

     2.

a. 4/8 (1/2)

b. 8/2 (4/1)

     3.

a. 3/9 (1/3)

b. 9/3 (3/1)

     4.

a. 2/10 (1/5)

Step-by-step explanation:

Hope this helps :)

A salesperson will earn a commission equal to 1/32 of the total sales. what is the commissions earned on the sales totaling 24000 ​

Answers

Answer:

Step-by-step explanation: When dealing with fractions in the way they are used in this problem the word "of" (as in "1/32 OF the total sales") means to multiply.

the total sales") means to multiply.

So we can write an equation as:

c

=

r

s

Where:

c is the commission earned, what we are solving for in this problem.

r  is the commission rate -  1/

32  in this problem

s  is the total sales - $24,000 in this problem.

Substituting and calculating  c  gives:

c

=1/32 x $24,000

c=$24,000/

32

c

=

$

750

please help me. very confused​

Answers

Answer:

a. 16

Step-by-step explanation:

sin x = cos (90-x)

sin 74 = cos (90-74)

sin 74 = cos 16

Hi guys can you answer my math question​

Answers

Answer:

square and what does the picture look like

Step-by-step explanation:

square but it depends on the other frames

8. The diagonal of a computer monitor is measured to be 17 inches. If the width of the monitor is 12 inches, find the
height of the monitor to the nearest inch.
a. 17 inches b. 12 inches
c. 16 inches d. 145 inches

Answers

Answer:

        b. 12 inches

Step-by-step explanation:

D = 17 in

W = 12 in

H = ??

Monitor is a ractangle, so we can use the Pythagoeran theorem:

W² + H² = D²

12² + H² = 17²

H² = 289 - 144

H² = 145

H = √145 ≈ 12

Please help me fill out the rest I got stuck on the one with 11

Answers

I thnk it is 22 but im not to sure

plz help i will give whoever answers first with the correct answer brainliest

Answers

Answer:

Since 1/5 is 0.2

and 1/5 × 9 is 9/5

We can do 0.2 × 9

which you should get 1.8

OR you can do 0.2 + 0.2 + 0.2 +0.2 +0.2 + 0.2 + 0.2 + 0.2 + 0.2 (which is 0.2 added 9 times)

Which also results in 1.8

Answer:

she could mabey multiply 9x0.2=1.8

Step-by-step explanation:

it might be 1.8 because if 1/5=0.2 and she needs to find out what 9/5 is so

you need to multiple 9x0.2 but im not sure if im right

En una pension de perros hay tres perros que pesan 20kg 10kg y otro 5kg si se contempla que 70kg de alimento dura 2 meses¿que cantidad de alimento le toca a cada perro ? Problema de proporcionalidad inversa

Answers

Answer:

40kg

20kg

10kg

Step-by-step explanation:

The computation of the food each one is getting as follows

Total weights of all dogs

= 20 kg + 10 kg + 5kg

= 35 kg

And, the food is 70 kg

So, each one is getting

for 20 kg

= 70 ÷ 35 × 20

= 40 kg

For 10 kg

= 70 ÷ 35 × 10

= 20 kg

And, for 5 kg

= 70 ÷ 35 × 5

= 10 kg

CAN SOMEONE PLEASE GIVE ME THE ANSWERS TO ALGEBRA NATION SECTION 7 TOPIC 6 WILL MAKE BRAINLIEST

Answers

Answer:

Im hella sorry i couldn't find the answer i tried my best sorry :c

Can someone please helpppppppp

Answers

Answer:

first one

Step-by-step explanation:

hhhhjnbbbnhhh

Solve using system by elimination:
-3x + 4y = -18
x = -2y - 4

Answers

Answer:

x=2 and y=−3

Step-by-step explanation:

Use math papa's systems of equations calculator that shows work!

:)

Answer:

I'm doing this now in school. its a pain

Step-by-step explanation:

x=2

y=-3

what fraction is greater than 1/5 and less than 1/3

Answers

1/5 < 1/4 < 1/3

the answer is 1/4

The fraction 1/4 is greater than 1/5 and less than 1/3

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction that can be written as the form of p : q, which is equivalent to p / q.

We need to find the fraction that is greater than 1/5 and less than 1/3

Since we know that 1/5 < 1/4 < 1/3

When the numerator is less than the denominator, the fraction is called proper fraction, otherwise it is called improper fraction that proper fraction is also called fraction which is less than 1.

Therefore the answer is; 1/4

Learn more about the fraction visit:

brainly.com/question/5454147

#SPJ2

20 points NEED HELP
If a population consisted of 700,000 people, a sample of the population could consist of which of these numbers of people?
A. 7,000,000
B.700,000,000
C.70,000
D.70,000,000

Answers

It would be C, because there are 700,000 people and with A, B, and D there are more people than there are the original population.

Answer:

the answer is C

Step-by-step explanation:

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The slope of this line is 8 and it goes through the point (-4, 4)



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pls i really need help

Answers

Answer:

y = 8x + 36

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Answers

Answer:

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Step-by-step explanation:

well this should be simple

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Answers

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[tex]\frac{21}{2} , \frac{19}{3}, \frac{17}{4} , 3, . . .[/tex]

Answers

Answer: 13/6

Step-by-step explanation:

Based upon the previous sequence.

1.there is a constant decrease of two in the numerator

2. There is a constant increase of one in the denominator

to find the fourth number in the sequence I used One of the numbers from the previous to determine the answer.

17/4 — —> then I followed the pattern and determine what fraction 3 was       .   .                 before it was converted into a whole number.

which would be 15/5 —> Now considering equations that are written like this also mean division, because in this case division is possible the answer would be 3, which would make the whole number 3 instead of 15/3. considering it was an improper fraction.

____________________________________________________________

Now If 15/5 wasn’t converted into 3, The answer to the  sequence would be 13/6. If you follow the pattern like I said before there is a certain amount of increase and decrease so 13/6 will be your answer. The only reason is not a whole number because 13 can’t be divided by six to get a whole number.

13/6 because the nex

two coins are tossed at the same time. what is the probability they both land on tails?

Answers

Answer:

1/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

30%

Nathan usually drinks 33 ounces of water per day. He read that he should drink 56 ounces of water per
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The percent increase is /
%.

Answers

Answer:

Step-by-step explanation:

i don't know just want points

Please help me with this

Answers

Answer:

i cant help you with this sorry

Step-by-step explanation:

Match each system of equations to its solution represented by an augmented matrix.

Answers

Answer:

Step-by-step explanation:

Wendy placed an order for 4/5 of a sack of brown lentils and 2/3 of a sack of green lentils. How much more brown lentils did Wendy order?

Answers

Answer:

6/8

Step-by-step explanation:

in this diagram, circle A has radius = 5.6 and DC = 8. BC is tangent line, calculate the distance of BC.

Answers

Answer:

13.6 is the distance of BC

1. 12 + m = 10

I need help im not sure how to solve it

Answers

m=-2 i believe that’s the answer
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